# General Solution of the Luneberg Lens Problem

@article{Morgan1958GeneralSO, title={General Solution of the Luneberg Lens Problem}, author={Samuel P. Morgan}, journal={Journal of Applied Physics}, year={1958}, volume={29}, pages={1358-1368} }

The general solution is obtained for the index of refraction of a variable‐index, spherical lens which will form perfect geometrical images of the points of two given concentric spheres on each other. One conjugate sphere is assumed to be outside the lens or at its surface, while the other may be either inside, outside, or at the surface. If one of the spheres is of infinite radius, the lens will focus a parallel beam perfectly at a point on the other sphere.It is shown that the index of…

## 168 Citations

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The generalized Luneburg lens problem has been reexamined with the aim of optimizing the methods for computing the Luneburg integral, which determines the refractive-index distribution of spherically…

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A calculation is made of the maximum steady-state temperature rise due to a small amount of dielectric dissipation in a Luneberg lens which is continuously illuminated by a powerful microwave…

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A new lens model based on the gradient-index Luneburg lens and composed of two oblate half spheroids of different curvatures is presented to create continuous isoindicial contours and to incorporate curvatures that are similar to those found in a human lens.

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The work of the proposed algorithm in the framework of geometrized approach to optics for solving the problem of finding the propagation path of the electromagnetic radiation depending on environmental parameters is demonstrated.

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THE DIFFICULTY of rapid scanning over the outer surface of a Luneberg lens has led Gutman1 to devise a lens in which the feed moves on a smaller radius. In Gutman's lens the feed horn points toward…

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Spherically symmetric optical instruments, and their desirability for microwaves, are discussed. Application of Hamiltonian optics in analyzing the rays in the Luneberg lens has led to formula of a…